Note that AppData or Application Data may be invisible files on your computer; you should set your computer to show hidden files to get into them. (Alternatively, typing %APPDATA% into the address bar of an Explorer window will take you there.)

If you can't find them, search for a directory named science_girls, DateWarp, MagicalDiaryHorseHall, or CuteKnightKingdom. (The Windows version of Cute Knight Kingdom will keep its saved games in other locations; where depends on what version of Windows and what version of Cute Knight Kingdom you have.)